Which of the following is not a true statement?(1 point)
Responses
9 × 10−4
is 1,000 times as great as 9 × 10−7
9 × 10−4
is 1,000 times as great as 9 × 10−7
7 × 10−2
is 1,000 times as great as 7 × 10−6
7 × 10−2
is 1,000 times as great as 7 × 10−6
4 × 108
is 100 times as great as 4 × 106
4 × 108
is 100 times as great as 4 × 106
2 × 106
is 10 times as great as 2 × 105
2 × 106 is 10 times as great as 2 × 105 is not a true statement.
The statement "2 × 106 is 10 times as great as 2 × 105" is not a true statement.
To determine which statement is not true, we can compare the values given in each statement and determine if they are indeed 1,000 times or 100 times greater. Let's analyze each statement:
Statement 1: 9 × 10^-4 is 1,000 times as great as 9 × 10^-7.
To check this statement, we need to calculate if 9 × 10^-4 is indeed 1,000 times greater than 9 × 10^-7.
To do this, we can divide the first value by the second value and see if the result is 1,000.
(9 × 10^-4) / (9 × 10^-7) = (9 / 9) × (10^-4 / 10^-7) = 1 × 10^3 = 1,000
Since the result is 1,000, this statement is true.
Statement 2: 7 × 10^-2 is 1,000 times as great as 7 × 10^-6.
Similarly, we can calculate if 7 × 10^-2 is indeed 1,000 times greater than 7 × 10^-6.
(7 × 10^-2) / (7 × 10^-6) = (7 / 7) × (10^-2 / 10^-6) = 1 × 10^4 = 10,000
Since the result is 10,000, this statement is also true.
Statement 3: 4 × 10^8 is 100 times as great as 4 × 10^6.
Now let's check if 4 × 10^8 is truly 100 times greater than 4 × 10^6.
(4 × 10^8) / (4 × 10^6) = (4 / 4) × (10^8 / 10^6) = 1 × 10^2 = 100
Since the result is 100, this statement is true.
Statement 4: 2 × 10^6 is 10 times as great as 2 × 10^5.
Finally, we need to verify if 2 × 10^6 is indeed 10 times greater than 2 × 10^5.
(2 × 10^6) / (2 × 10^5) = (2 / 2) × (10^6 / 10^5) = 1 × 10^1 = 10
Since the result is 10, this statement is true.
Therefore, none of the statements are false.